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12×□<12,选项为\\(\frac{8}{8}\\)、\\(\frac{7}{8}\\)、\\(\frac{9}{8}\\)

Question

12×□<12,选项为\\(\frac{8}{8}\\)、\\(\frac{7}{8}\\)、\\(\frac{9}{8}\\)

Explanation:

Step1: Recall the rule of multiplying by fractions

When a number is multiplied by a fraction less than 1, the result is less than the original number; when multiplied by 1, the result is equal; when multiplied by a fraction greater than 1, the result is greater.

Step2: Analyze each option

  • For \(\frac{8}{8}\): \(12\times\frac{8}{8}=12\times1 = 12\), which is not less than 12.
  • For \(\frac{7}{8}\): Since \(\frac{7}{8}<1\), then \(12\times\frac{7}{8}=10.5\), and \(10.5 < 12\).
  • For \(\frac{9}{8}\): Since \(\frac{9}{8}>1\), then \(12\times\frac{9}{8}=13.5\), and \(13.5>12\).

Answer:

\(\frac{7}{8}\)